Translating Equations
Translate the algebraic equation into a verbal sentence:
n-7=12
Answers may vary!
"The difference of a number and seven is twelve."
x/6=-3
x=-18
Andy deposited $200 into his checking account. If his new balance is $570, what was his balance before the deposit?
370 dollars
Translate the verbal sentence into an algebraic equation:
"The sum of a number and two is equivalent to negative four."
n+2=-4
2x-4=16
x=10
Ms. Smith has 11 children in her second grade class. She would like to give each student an equal number of candy canes. If each child got 3 candy canes, how many did Ms. Smith start with?
33 candy canes
Translate the algebraic equation into a verbal sentence:
3n+1=10
Answers may vary!
"The sum of three of a number and one is ten."
5x+3-1=2x+5
x=1
Mandy has $110 in her checking account. If she puts in $20 every week, in how many weeks will she have $230 in her account?
6 weeks
Translate the verbal sentence into an algebraic equation:
"The quotient of a number squared and three equals twelve."
n^2/3=12
-5x+5=5(1-x)
All Real Numbers
A plant is currently 8 inches tall. If it grows 3 inches per year, how many years will it take to reach a height of 17 inches?
3 years
Translate the algebraic equation into a verbal sentence:
6=(n+1)/2
*Must say something that shows the addition is first*
Example: "Six equals the quotient of a number plus one and two."
4(4x+1)=3(3x-1)
x=-1
One half of the freshman class signed up to play a sport. 10 of them changed their mind and no longer wanted to play a sport. If 30 freshmen played in sports, how many students make up the entire freshman class?
80 students